Practice the questions given in the worksheet on rational numbers.

We know, numbers that can be expressed in the form x/y, where y is a non - zero integer and x is any integer are called rational numbers.

The questions are based on rational number, useful results on rational number, positive rational number and negative rational number.

**1.** Write down the numerator of each of the following rational numbers:

(i) (-7)/5

(ii) 15/(-4)

(iii) (-17)/(-21)

(iv) 8/9

(v) 5

**2.** Write down the
denominator of each of the following rational numbers:

(i) (-4)/5

(ii) 11/(-34)

(iii) (-15)/(-82)

(iv) 15

(v) 0

**3.** Write down
the rational number whose numerator is (-3) × 4, and whose denominator is (34 - 23) × (7 - 4).

**4.** Write the following rational numbers
as integers:

17/1, (-23)/1, 35/1, (-77)/1, 91/1.

**5.** Write the
following integers as rational numbers with denominator 1:

-19, 27, 71, -101.

**6.** Write down the rational number whose
numerator is the smallest four digit number and denominator is the largest five
digit number.

**7****.** Separate positive and negative
rational numbers from the following rational numbers:

(-5)/(-7), 12/(-5), 7/4, 13/(-9), 0, (-18)/(-7), (-95)/116, (-1)/(-9)

**8.** Which of the
following rational numbers are positive?

(i) (-8)/7 (ii) 9/8 (iii) (-19)/(-13) (iv) (-21)/13

**9.** Which of the
following rational numbers are negative?

(i) (-3)/7 (ii) (-5)/-8 (iii) 9/(-83) (iv) (-115)/-197

**10.** Which is
the following statement are true or false?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(ii) 0 is a whole number but it is not a rational number.

Answers for the** **worksheet on rational numbers are given below to check the exact answers of the above questions on rational number.

**Answers:**

** **

**1.** (i) -7

(ii) 15

(iii) -17

(iv) 8

(v) 5

**2.** (i) 5

(ii) -34

(iii) -82

(iv) 1

(v) any non zero integer

**3.** (-12)/33

**4.** 17, -23, 35, -77, 91

**5.** (-19)/1, 27/1, 71/1, (-101)/1

**6.** 1000/99999

**7.** Positive rational numbers: (-5)/(-7), 7/4, (-18)/(-7), (-1)/(-9);

Negative rational numbers: 12/(-5), 13/(-9), (-95)/116

**8.** (ii) 9/8

(iii) (-19)/(-13)

**9.** (i) (-3)/7

(iii) 9/(-83)

**10.** (i) true

(ii) true

(ii) false

● **Rational Numbers - Worksheets**

Worksheet on Equivalent Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Adding Rational Numbers

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Subtracting Rational Numbers

Worksheet on Addition and
Subtraction of Rational Number

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Properties of Multiplication of Rational Numbers

Worksheet on Division of Rational Numbers

Worksheet on Properties of Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Worksheet on Operations on Rational Expressions

Objective Questions on Rational Numbers

__Math Homework Sheets__** **__8th Grade Math Practice__** **__From Worksheet on Rational Numbers to HOME PAGE__

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● **Rational Numbers**

Introduction of Rational Numbers

Is Every Rational Number a Natural Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational Number

Rational Expressions Involving Division

Properties of Division of Rational Numbers

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